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A Fast Method for Computing the Inverse of Symmetric Block Arrowhead Matrices |
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PP: 319-324 |
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Author(s) |
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Waldemar Hołubowski,
Dariusz Kurzyk,
Tomasz Trawiński,
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Abstract |
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| We propose an effective method to find the inverse of symmetric block arrowhead matrices which often appear in areas of
applied science and engineering such as head-positioning systems of hard disk drives or kinematic chains of industrial robots. Block
arrowhead matrices can be considered as generalisation of arrowhead matrices occurring in physical problems and engineering. The
proposed method is based on LDLT decomposition and we show that the inversion of the large block arrowhead matrices can be more
effective when one uses our method. Numerical results are presented in the examples. |
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